1 Point estimation by the method of maximum likelihood. Unbiased estimation. Method-of-moments estimates as first approximations to maximum-likelihood estimates. Bayesian estimation. Robust methods of estimation.
2 Sufficiency and completeness. Mean squared error and admissibility. Rao-Blackwell and Lehmann Scheffe theorems.
3 Confidence intervals. Bayesian credible intervals.
4 Hypothesis testing.
5 Categorical data analysis. Chi-square goodness-of-fit tests.
6 Regression and analysis of variance.
7 Non-parametric methods.